Some questions about sneaking in the water:

Is going into sneak mode on land, and then going into the water the equivalent of sneaking in the water?

Are you easier to detect when swimming quickly versus swimming slowly?

While swimming slowly in the water, are you as easy to detect as when walking on land (same for swimming quickly in the water and running on land)?

If the answer to the first question is no, is there any way to sneak in the water (any mods)?

Thanks to anybody who can answer these.

It is not possible to sneak it water AFAIK. Can't say I've ever come across a mod that allows it either.

If I'm in one of those dungeons that has parts of it underwater, I enter sneak mode before swimming, so when I walk out of the water on the other side, I am already sneaking.